Pith Number

pith:GFGG5OQ6

pith:2016:GFGG5OQ6CH7SIGMWGIWK2D7ITT

not attested not anchored not stored refs pending

Anisotropic Long-Range Spin Systems

Andrea Trombettoni, Nicol\`o Defenu, Stefano Ruffo

arxiv:1606.07756 v1 · 2016-06-24 · cond-mat.stat-mech · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFGG5OQ6CH7SIGMWGIWK2D7ITT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:55:13.453208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314c6eba1e11ff241996322cad0fe89cf88fa5e3cfe2dcadb41bf4a614a7a096

Aliases

arxiv: 1606.07756 · arxiv_version: 1606.07756v1 · doi: 10.48550/arxiv.1606.07756 · pith_short_12: GFGG5OQ6CH7S · pith_short_16: GFGG5OQ6CH7SIGMW · pith_short_8: GFGG5OQ6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GFGG5OQ6CH7SIGMWGIWK2D7ITT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 314c6eba1e11ff241996322cad0fe89cf88fa5e3cfe2dcadb41bf4a614a7a096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f681a18e915e0b5d47800efc1547915621e681e2a499ab18a3ae5eeaed1295b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-06-24T16:40:01Z",
    "title_canon_sha256": "baf722f3e58ed4a0a6bc7b881029ae98ca7cfeb3870ca6c9466916238acdac9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07756",
    "kind": "arxiv",
    "version": 1
  }
}